# Worksheet: The Average Velocity within nth Second

In this worksheet, we will practice solving problems involving the average velocity in an nth second of a particle moving in a straight line.

Q1:

A body was uniformly accelerating in a straight line such that it covered 72 m in the first 3 seconds and 52 m in the next 4 seconds. Find its acceleration and its initial velocity .

• A ,
• B ,
• C ,
• D ,

Q2:

A particle is moving in a straight line accelerating uniformly at 1 m/s2. Given that its initial velocity was 21 m/s, find its displacement during the time interval between and .

• A 246 m
• B 127.5 m
• C 80.75 m
• D 186 m

Q3:

A body, moving in a straight line, accelerated uniformly such that it covered 35.5 m in the second and 53.5 m in the one. Find the acceleration of the body and its initial velocity .

• A ,
• B ,
• C ,
• D ,

Q4:

A particle is moving in a straight line with an initial speed and a uniform acceleration . Express its average velocity during the , , and seconds in terms of and .

• A
• B
• C
• D

Q5:

A particle started moving in a straight line from rest. Accelerating uniformly, it covered 135 cm in the , , and seconds. Find its acceleration and the distance required for the particle to reach a velocity of 45 cm/s.

• A ,
• B ,
• C ,
• D ,

Q6:

A particle was moving in a straight line with a constant acceleration. Given that it covered 23 m in the seconds and 56.5 m in the and seconds, determine the particleβs acceleration and initial velocity .

• A ,
• B ,
• C ,
• D ,

Q7:

A particle started moving in a straight line. Its initial velocity was 35 cm/s, and it accelerated uniformly at 11.5 cm/s2. Find the distance covered by the particle in the and seconds.

Q8:

Near the surface of the moon, the distance that an object falls is a function of time. It is given by , where is in seconds and is in feet. An object is dropped and falls for at least 3 seconds. Calculate the average velocity of the object from to .

Q9:

A body was uniformly accelerating in a straight line such that it covered 68 m in the first 4 seconds and 57 m in the next 6 seconds. Find its acceleration and its initial velocity .

• A ,
• B ,
• C ,
• D ,

Q10:

A body, moving in a straight line, accelerated uniformly such that it covered 39.5 m in the second and 58.5 m in the one. Find the acceleration of the body and its initial velocity .

• A ,
• B ,
• C ,
• D ,

Q11:

A particle is moving in a straight line with an initial speed and a uniform acceleration . Express its average velocity during the , , and seconds in terms of and .

• A
• B
• C
• D

Q12:

A particle was moving in a straight line with a constant acceleration. Given that it covered 19.5 m in the seconds and 52.5 m in the and seconds, determine the particleβs acceleration and initial velocity .

• A ,
• B ,
• C ,
• D ,

Q13:

A particle started moving in a straight line. Its initial velocity was 64.5 cm/s, and it accelerated uniformly at 10 cm/s2. Find the distance covered by the particle in the and seconds.

Q14:

A particle is moving in a straight line accelerating uniformly at 4 m/s2. Given that its initial velocity was 7 m/s, find its displacement during the time interval between and .

• A 129 m
• B 24 m
• C 28.5 m
• D 75 m

Q15:

A particle started moving in a straight line from rest. Accelerating uniformly, it covered 108 cm in the , , and seconds. Find its acceleration and the distance required for the particle to reach a velocity of 64 cm/s.

• A ,
• B ,
• C ,
• D ,